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Math Help - Percentage and fraction question

  1. #1
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    Percentage and fraction question

    How do I turn 83 1/3 % into a fraction? I already have this:

    83 and 1/3 divided by 100. I don't know what to do after that.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by ladyk View Post
    How do I turn 83 1/3 % into a fraction? I already have this:

    83 and 1/3 divided by 100. I don't know what to do after that.
    Apply basic arithmetic like this:

    83\frac{1}{3}\div 100 = \frac{250}{3}\times\frac{1}{100}=\frac{250}{300}=\  frac{5}{6}
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  3. #3
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    Why would 83 1/3 % be changed to 250/3? That's what I'm having a hard time understanding.
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  4. #4
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    Quote Originally Posted by ladyk View Post
    Why would 83 1/3 % be changed to 250/3? That's what I'm having a hard time understanding.
    So that you could multiply the fraction more easily and quicker. It would be just consist of more steps to multiply a fraction with a mixed fraction thats why it is changed to a top heavy fraction.

    \frac{250}{3}\times\frac{1}{100} = \frac{250 \times 1}{3 \times 100}  = \frac{250}{300} = \frac{5}{6} < Completed in 4 Steps

    83 \frac13 \times \frac{1}{100} = \left(\frac{83}{1} \times \frac{1}{100}\right) + \left( \frac{1}{3} \times \frac{1}{100}\right) = \left(\frac{83}{100}\right) + \left(\frac{1}{300}\right) =   \left(\frac{249}{300}\right) + \left(\frac{1}{300}\right) = \frac{250}{300} = \frac{5}{6} <Completed in 6 steps

    Hence it is easier to multiply fraction by converting a mixed fraction to a top heavy fraction as it can be completed in less steps.
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  5. #5
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    Ohhhh, thanks so much Air. I had no clue that 250/3 was just 83 and 1/3 % turned into an improper fraction. lol
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